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Mathematics > Number Theory

Title: Vector-valued higher depth quantum modular forms and higher mordell integrals

Abstract: In this paper, we prove vector-valued higher depth quantum modular properties arising from characters of certain vertex algebras. We then find two-dimensional Mordell integral representations for their errors of modularity.
Comments: 20 pages
Subjects: Number Theory (math.NT); Quantum Algebra (math.QA); Representation Theory (math.RT)
Cite as: arXiv:1803.06261 [math.NT]
  (or arXiv:1803.06261v1 [math.NT] for this version)

Submission history

From: Jonas Kaszian [view email]
[v1] Fri, 16 Mar 2018 15:05:46 GMT (21kb)